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3 years ago

How do I do this.. I don't understand how to

Mathematics

1 answer:

pychu [463]3 years ago

6 0

The three consecutive integers are n, n+1, and n+2. They add up to -36 so n + n+ 1 + n+ 2 = -36. So 3n + 3 = -36. Subtract 3 from both sides. 3n = -39. Divide both sides by 3 to isolate n. N=-12. The integers are -12, -11, and -10. Good luck

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Determine if the sequence is arithmetic. If it is, find the common difference.

Margaret [11]

Answer:

1) Arithmetic since it decreases by 3 so, -3n + 38.

2) Arithmetic since it decreases by 20 each time, so -20n+17

Step-by-step explanation:

4 0

2 years ago

Janet had a sheet of paper that was 4 inches long the area was 40 inch square what is the width of the paper.

Tasya [4]

Answer:

10 inches

Step-by-step explanation:

Area is qual to length times width.

A = lw

Rearrange this to find width.

w = A/l

Now plug in your known numbers and simplify.

w = 40/4

w = 10

7 0

3 years ago

Brigid has a 25-foot ladder she will use to paint the side of her house. What angle does the ladder need to make with house so s

lana66690 [7]

Answer:

The answer to your question is the letter D) 46°

Step-by-step explanation:

Data

length = 25 ft

Opposite side = 18 ft

Angle = Ф

To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.

Sin Ф = Opposite side / hypotenuse

-Substitution

sin Ф = 18/25

-Simplification

sin Ф = 0.72

-Result

sin⁻¹ Ф = 0.72 = 46°

7 0

3 years ago

Suppose x has a normal distribution with mean μ = 45 and standard deviation σ = 9. describe the distribution of x values for sam

Fofino [41]

The standard deviation of a particular sample is equal to the standard deviation divided by the square root of the sample size. That is, $\sigma_x=\frac{\sigma}{\sqrt n}$
The mean of a particular sample is equal to the mean of the set the sample was taken from. That is,
$\mu_x=\mu$
$\text{In your case, }\sigma_x=\frac{9}{\sqrt4}=\frac92\text{ and }\mu_x=45.$

4 0

3 years ago

What is the perimeter of a right triangle whose hypotenuse is the line segment A(-7, 5) B(1,0)

Svetradugi [14.3K]

Answer:

it depends

Step-by-step explanation:

The endpoints of the hypotenuse are insufficient to specify a right triangle. The perimeter can range from twice the distance between these points, about 18.868 units, to 1+√2 times the distance between these points, about 22.776 units.

___

In the attached figure, the colored numbers are the total length of the two legs of that color. The hypotenuse and its length are in black.

_____

The distance between two points is given by the formula ...

d = √((x2-x1)^2 +(y2 -y1)^2)

The perimeter will be the sum of the distances between pairs of points that define the vertices of the triangle. We need to know the third vertex to answer the question precisely.

5 0

3 years ago